8 citations · 18 across the 12 of their papers we have counts for
13 papers
Metric tensors and two-forms in information geometry from the GNS construction
Marco Castrillón López, Florio M. Ciaglia, Laura González-Bravo +1
We develop a GNS-based construction of geometric tensors on smooth parametric statistical models over -algebras. Since the state space of a -algebra is generally not a sm…
On the classification of Jacobi curves and their conformal curvatures
A. Bautista, A. Ibort, J. Lafuente
This paper describes the theory of Jacobi curves, a far reaching extension of the spaces of Jacobi fields along Riemannian geodesics, developed by Agrachev and Zelenko. Jacobi curv…
Symplectic realizations and Lie groupoids in Poisson Electrodynamics
Fabio Di Cosmo, Alberto Ibort, Giuseppe Marmo +1
We define the gauge potentials of Poisson electrodynamics as sections of a symplectic realization of the spacetime manifold and infinitesimal gauge transformations as a representat…
A Lagrangian path integral approach to the qubit
A. Ibort, M. Jiménez-Vázquez
A Lagrangian description of the qubit based on a generalization of Schwinger's picture of Quantum Mechanics using the notion of groupoids is presented. In this formalism a Feynman-…
Quantum Tomography and the Quantum Radon Transform
Alberto Ibort, Alberto López-Yela
A general framework in the setting of -algebras for the tomographical description of states, that includes, among other tomographical schemes, the classical Radon transform, q…
The Geometry of the solution space of first order Hamiltonian field theories III: Palatini's formulation of General Relativity
Florio M. Ciaglia, Fabio Di Cosmo, Alberto Ibort +3
We complete the program started in two companion papers of defining a Poisson bracket structure on the space of solutions of the equations of motion of first order Hamiltonian fiel…